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Unformatted text preview: xcoordinates at which the function g ( x ) = x α e βx has horizontal tangent lines. Assume α and β are positive constants. (a) using product and chain rules (b) using logarithmic differentiation 6. Find the derivative of the function y deﬁned implicity in terms of x . (a) y 2 = ln(2 x + 3 y ) (b) ln(cos( y )) = 2 x + 5 (c) (1 + x ) y = y + x 7. Find, as directed, the equation of the tangent line to the curve implicitly deﬁned as a function of x . (a) y + e y = 1 + ln( x ) at the point ( 1 , 0 ) (b) y 2e 2 x = e x ln( y ) at the point ( 0 , 1 ) ——————————————————————...
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This note was uploaded on 05/17/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.
 Spring '08
 ALL
 Calculus, Geometry, Derivative

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